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Finding the Fourth Proportional to 6,617.25, 9,916.61 and 4,972.74

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Solution

The fourth proportional to 6,617.25, 9,916.61 and 4,972.74 is: 7,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.25 : 9,916.61 = 4,972.74 : x
  2. Step 2: Convert to fraction form
    6,617.25/9,916.61 = 4,972.74/x
  3. Step 3: Cross multiply
    6,617.25x = 9,916.61 × 4,972.74
  4. Step 4: Simplify right side
    6,617.25x = 49,312,698.35
  5. Step 5: Solve for x
    x = 49,312,698.35/6,617.25
  6. Step 6: Final answer
    x = 7,452.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.